# Null Hypothesis

A cereal company claims that the weight of the cereal in one of its packages is at least 14 oz. Eight packages are tested and the weights are given below.

Test the claim at V = 0.01.

14.6, 13.8, 14.1, 13.7, 14.0, 14.4, 13.6, 14.2

Please explain by using the traditional methods for testing hypotheses and showing the results of all steps in the process.

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#### Solution Preview

The first step would be to calculate the mean of the group.

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<br>Add up all of the numbers, and divide by 8.

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<br>Next you have to find the standard deviation.

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<br>You have to take each individual number, subtract it from the mean, and square that number:

<br>(x - mean)^2

<br>Then you have to add up every single one of those numbers

<br>(x1-mean)^2 + (x2 - mean)^2 +.......+ ...

#### Solution Summary

The solution addresses the null hypothesis of a cereal company who claims that the weight of the cereal in one of its packages is at least 14 oz. Eight packages are tested and the weights are given below.

Test the claim at V = 0.01.

14.6, 13.8, 14.1, 13.7, 14.0, 14.4, 13.6, 14.2

Please explain by using the traditional methods for testing hypotheses and showing the results of all steps in the process.